Discount Calculator
96.00
120.00
You save:24.0020%
exact: 96
Step-by-step solution
- 1
Identify the given values
The price and each percentage become exact fractions — nothing is rounded.
- P = 120
- d₁ = 20%
- 2
Turn the first discount into a factor
A discount of 20% keeps the remaining part of the price, so the multiplier is the exact fraction below.
- 3
Apply the first discount
Multiply the price by the factor; the running subtotal is 96.00.
- 4
Final price
The final price is 96.00 (exact fraction shown above).
- 5
Amount saved
The discounts save 24.00, which is 20% of the original price.
- 6
Result
Final price 96.00; you save 24.00 before tax.
How discount calculations work
Successive discounts compound instead of adding: 20% followed by 10% off leaves 0.8 × 0.9 = 0.72 of the price — an effective discount of 28%, not 30%.
Tax, when given, is applied after the discounts to the already reduced price.
Every percentage becomes an exact fraction (20% → 4/5), so all intermediate values stay exact; only the displayed money amounts are rounded to two decimals.